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Finding the Fourth Proportional to 299,139.40, 448,271.70 and 254,524.60

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Solution

The fourth proportional to 299,139.40, 448,271.70 and 254,524.60 is: 381,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139.40 : 448,271.70 = 254,524.60 : x
  2. Step 2: Convert to fraction form
    299,139.40/448,271.70 = 254,524.60/x
  3. Step 3: Cross multiply
    299,139.40x = 448,271.70 × 254,524.60
  4. Step 4: Simplify right side
    299,139.40x = 114,096,175,133.82
  5. Step 5: Solve for x
    x = 114,096,175,133.82/299,139.40
  6. Step 6: Final answer
    x = 381,414.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.